Assertion A : If A, B, C, D are four points on a semi-circular arc with centre at 'O' such that
\(\left|\overset\longrightarrow{AB}\right|\) = \(\left|\overset\longrightarrow{BC}\right|\) = \(\left|\overset\longrightarrow{CD}\right|\), then
\(\overset\longrightarrow{AB}\) + \(\overset\longrightarrow{AC}\) + \(\overset\longrightarrow{AD}\) = 4 \(\overset\longrightarrow{AO}\) + \(\overset\longrightarrow{OB}\) + \(\overset\longrightarrow{OC}\)
Reason R : Polygon law of vector addition yields
\(\overset\longrightarrow{AB}\) + \(\overset\longrightarrow{BC}\) + \(\overset\longrightarrow{CD}\) + \(\overset\longrightarrow{AD}\) = 2 \(\overset\longrightarrow{AO}\)
In the light of the above statements, choose the most appropriate answer from the options given below :
(1) A is correct but R is not correct.
(2) A is not correct but R is correct.
(3) Both A and R are correct and R is the correct explanation of A.
(4) Both A and R are correct but R is not the correct explanation of A.
